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Finding the Fourth Proportional to 8,383, 12,574.50 and 2,227

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Solution

The fourth proportional to 8,383, 12,574.50 and 2,227 is: 3,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383 : 12,574.50 = 2,227 : x
  2. Step 2: Convert to fraction form
    8,383/12,574.50 = 2,227/x
  3. Step 3: Cross multiply
    8,383x = 12,574.50 × 2,227
  4. Step 4: Simplify right side
    8,383x = 28,003,411.50
  5. Step 5: Solve for x
    x = 28,003,411.50/8,383
  6. Step 6: Final answer
    x = 3,340.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.